Operator of extrapolation from a finite set of quasi-polynomial vector-functions and its applications
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| 024 | 7 | 0 | |a 10.1515/1569394042248256 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569394042248256 | ||
| 245 | 0 | 0 | |a Operator of extrapolation from a finite set of quasi-polynomial vector-functions and its applications |h [Elektronische Daten] |c [M. N. Zav'yalov, L. S. Maergoiz] |
| 520 | 3 | |a We consider the inverse problem for a first-order homogeneous system of linear ordinary differential equations (LODE), where Y(t) is a vector-function with n components and A is an unknown matrix of dimensionality n × n with constant complex coefficients and certain restrictions imposed on its eigenvalues. The boundary conditions are Ck := Y(tk ), tk = t 0 + kd, d > 0, k = 0, 1, ... , N, N ≥ n. Here is a given system of vectors in . This problem is equivalent to the problem of extrapolating a vector-function composed of quasi-polynomials representing solutions of some LODEs with constant coefficients of order n. The zone of solution stability of the system against small-amplitude input data oscillations is described. The results obtained are used to construct an approximation algorithm for a real vector-function of one variable set at a finite number of nodes of a uniform grid (modified Prony algorithm). | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 700 | 1 | |a Zav'yalov |D M. N. |u E-mail: maergoiz@krsk.info |4 aut | |
| 700 | 1 | |a Maergoiz |D L. S. |u Krasnoyarsk State Academy of Architecture and Civil Engineering. Svobodny prosp., 82, Krasnoyarsk, 660041, Russia. E-mail: maergoiz@krsk.info |4 aut | |
| 773 | 0 | |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 12/4(2004-10-01), 435-446 |x 0928-0219 |q 12:4<435 |1 2004 |2 12 |o jiip | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569394042248256 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569394042248256 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zav'yalov |D M. N. |u E-mail: maergoiz@krsk.info |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Maergoiz |D L. S. |u Krasnoyarsk State Academy of Architecture and Civil Engineering. Svobodny prosp., 82, Krasnoyarsk, 660041, Russia. E-mail: maergoiz@krsk.info |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 12/4(2004-10-01), 435-446 |x 0928-0219 |q 12:4<435 |1 2004 |2 12 |o jiip | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||